{"docId":120,"paperId":120,"url":"https:\/\/hrj.episciences.org\/120","doi":"10.46298\/hrj.1990.120","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":24,"name":"Volume 13 - 1990"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01104718","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01104718v1","dateSubmitted":"2015-03-03 16:13:46","dateAccepted":"2015-06-12 16:05:30","datePublished":"1990-01-01 08:00:00","titles":{"en":"On the frequency of Titchmarsh's phenomenon for $\\zeta(s)$ IX."},"authors":["Ramachandra, K"],"abstracts":{"en":"In the previous paper in this series, we proved a lower bound for $f(H)=\\min_{T\\geq1}\\max_{T\\leq t\\leq T+H}\\vert(\\zeta(1+it))^z\\vert,$ where $z=\\exp(i\\theta)$ and $0\\leq\\theta<2\\pi$. In this paper, we prove an upper bound for $f(H)$ and present some applications."},"keywords":[{"en":"frequency of Titchmarsh phenomenon"},"[MATH] Mathematics [math]"]}